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131121313104402 = 232177391009574667
BaseRepresentation
bin11101110100000100001111…
…010010100100001000010010
3122012021002000202102221100200
4131310010033102210020102
5114141242422123320102
61142512144421200030
736422126241632565
oct3564041722441022
9565232022387320
10131121313104402
1138863266a15a95
1212858232560016
1358218c0ab092a
14245443c0c04dc
151025b761e351c
hex77410f4a4212

131121313104402 has 96 divisors (see below), whose sum is σ = 301513817966400. Its totient is φ = 41039648262144.

The previous prime is 131121313104371. The next prime is 131121313104407. The reversal of 131121313104402 is 204401313121131.

131121313104402 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 213 + 1 + 3 + 1 + 0 + 440 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (131121313104407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 227881873 + ... + 228456539.

It is an arithmetic number, because the mean of its divisors is an integer number (3140768937150).

Almost surely, 2131121313104402 is an apocalyptic number.

131121313104402 is an abundant number, since it is smaller than the sum of its proper divisors (170392504861998).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131121313104402 is a wasteful number, since it uses less digits than its factorization.

131121313104402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576440 (or 576437 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 131121313104402 its reverse (204401313121131), we get a palindrome (335522626225533).

The spelling of 131121313104402 in words is "one hundred thirty-one trillion, one hundred twenty-one billion, three hundred thirteen million, one hundred four thousand, four hundred two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 739 1009 1478 2018 2217 3027 4434 6054 6651 9081 12563 13302 17153 18162 25126 34306 37689 51459 75378 102918 113067 154377 226134 308754 574667 745651 1149334 1491302 1724001 2236953 3448002 4473906 5172003 6710859 9769339 10344006 12676067 13421718 19538678 25352134 29308017 38028201 58616034 76056402 87924051 114084603 175848102 228169206 424678913 579839003 849357826 1159678006 1274036739 1739517009 2548073478 3479034018 3822110217 5218551027 7219541521 7644220434 9857263051 10437102054 14439083042 19714526102 21658624563 29571789153 43317249126 59143578306 64975873689 88715367459 129951747378 177430734918 428501023217 857002046434 1285503069651 2571006139302 3856509208953 7284517394689 7713018417906 14569034789378 21853552184067 43707104368134 65560656552201 131121313104402